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Finding the Fourth Proportional to 390,564.96, 538,954.26 and 218,453.16

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Solution

The fourth proportional to 390,564.96, 538,954.26 and 218,453.16 is: 301,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,564.96 : 538,954.26 = 218,453.16 : x
  2. Step 2: Convert to fraction form
    390,564.96/538,954.26 = 218,453.16/x
  3. Step 3: Cross multiply
    390,564.96x = 538,954.26 × 218,453.16
  4. Step 4: Simplify right side
    390,564.96x = 117,736,261,192.46
  5. Step 5: Solve for x
    x = 117,736,261,192.46/390,564.96
  6. Step 6: Final answer
    x = 301,451.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.